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Simplifying l(4 + -1l) = 96 (4 * l + -1l * l) = 96 (4l + -1l2) = 96 Solving 4l + -1l2 = 96 Solving for variable 'l'. Reorder the terms: -96 + 4l + -1l2 = 96 + -96 Combine like terms: 96 + -96 = 0 -96 + 4l + -1l2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 96 + -4l + l2 = 0 Move the constant term to the right: Add '-96' to each side of the equation. 96 + -4l + -96 + l2 = 0 + -96 Reorder the terms: 96 + -96 + -4l + l2 = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -4l + l2 = 0 + -96 -4l + l2 = 0 + -96 Combine like terms: 0 + -96 = -96 -4l + l2 = -96 The l term is -4l. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4l + 4 + l2 = -96 + 4 Reorder the terms: 4 + -4l + l2 = -96 + 4 Combine like terms: -96 + 4 = -92 4 + -4l + l2 = -92 Factor a perfect square on the left side: (l + -2)(l + -2) = -92 Can't calculate square root of the right side. The solution to this equation could not be determined.
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